(a(i))[3]
Find how many distinct arrangements of the $7$ letters in the word BANANAS are possible when the first letter is $N$ and the last letter is $B$.
(a(ii))[3]
Find the number of different ways the $7$ letters of the word BANANAS can be arranged if all the letters $A$ are placed together.
(b)[3]
Find the number of ways of choosing a group of $9$ people from $14$ if two specific people are not allowed to be in the group together.